REVIEW OF THEORETICAL ANALYSES OF ARC HEATING IN A TUBE,

Abstract

The analytical methods utilized to compute the mutual interaction between a d.c. arc and a gas flow passing concurrently through a duct are reviewed and critically discussed. The numerous approximate and exact solutions for the fully-developed flow are presented in tabular form for reference purposes. Recent methods for solving the inlet flow problem are discussed, including the use of approximate laminar boundary layer methods and the exact numerical method. A new approximate solution is presented for an arc whose boundary is a paraboloid of revolution: the energy equation then reduces to a hypergeometric form. Evidence is presented showing that the results of computations for d.c. arcs may be in reasonable agreement with experimental data, notably the integrated parameters such as arc voltage, the development length, etc. The existing methods for describing similar situations, but with a.c. arcs are also reviewed. It is pointed out that one might expect an oscillatory coupling between the flow and the power input at certain frequencies, resulting in resonances and possibly standing waves in the tube. Certain open problems concerned with the interaction of an arc and a coaxial gas flow are presented in conclusion. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1965
Accession Number
AD0625558

Entities

People

  • James G. Skifstad

Tags

DTIC Thesaurus Topics

  • Arc Heating
  • Boundaries
  • Boundary Layer
  • Experimental Data
  • Flow
  • Frequency
  • Gas Flow
  • Laminar Boundary Layer
  • Layers
  • Standing Waves

Readers

  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.
  • Systems Analysis and Design